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arXiv 2507.08069quant-ph
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蜂窝状Floquet码的动态电路

A dynamic circuit for the honeycomb Floquet code

Jahan Claes

AI总结:

本文提出了一种适用于Floquet码的动态电路,通过增加时序距离和减少泄漏,显著提升了纠错阈值和降低了逻辑错误率。

摘要:

在典型的量子纠错码实现中,每个稳定子通过将一个或多个辅助量子比特与数据量子比特纠缠,并测量辅助量子比特来推断稳定子的值。最近,动态电路方法被引入,其中稳定子的测量不需要辅助量子比特。在此,我们证明动态电路特别适用于Floquet码。我们的动态电路增加了码的时序距离,自动去除泄漏,并且与标准辅助基电路相比,显著提高了阈值并降低了逻辑错误率。在物理错误率为10^-3时,我们估计达到10^-12逻辑错误率所需的量子比特数量几乎减少了3倍。

英文摘要:

In the typical implementation of a quantum error-correcting code, each stabilizer is measured by entangling one or more ancilla qubits with the data qubits and measuring the ancilla qubits to deduce the value of the stabilizer. Recently, the dynamic circuit approach has been introduced, in which stabilizers are measured without ancilla qubits. Here, we demonstrate that dynamic circuits are particularly useful for the Floquet code. Our dynamic circuit increases the timelike distance of the code, automatically removes leakage, and both significantly increases the threshold and lowers the logical error rate compared to the standard ancilla-based circuit. At a physical error rate of $10^{-3}$, we estimate a nearly $3\times$ reduction in the number of qubits required to reach a $10^{-12}$ logical error rate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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